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Finding the Fourth Proportional to 9,111.60, 13,638.60 and 8,823.60

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Solution

The fourth proportional to 9,111.60, 13,638.60 and 8,823.60 is: 13,207.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,111.60 : 13,638.60 = 8,823.60 : x
  2. Step 2: Convert to fraction form
    9,111.60/13,638.60 = 8,823.60/x
  3. Step 3: Cross multiply
    9,111.60x = 13,638.60 × 8,823.60
  4. Step 4: Simplify right side
    9,111.60x = 120,341,550.96
  5. Step 5: Solve for x
    x = 120,341,550.96/9,111.60
  6. Step 6: Final answer
    x = 13,207.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.